Least Common Multiple (LCM) of 135 and 49
The least common multiple (LCM) of 135 and 49 is 6615.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 135 and 49?
First, calculate the GCD of 135 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 49 = 2 remainder 37 |
| 2 | 49 ÷ 37 = 1 remainder 12 |
| 3 | 37 ÷ 12 = 3 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 168 | 504 |
| 59 and 115 | 6785 |
| 36 and 120 | 360 |
| 25 and 170 | 850 |
| 18 and 165 | 990 |